Title
The Yamada Model For A Self-Pulsing Laser: Bifurcation Structure For Nonidentical Decay Times Of Gain And Absorber
Abstract
We consider self-pulsing in lasers with a gain section and an absorber section via a mechanism known as Q-switching, as described mathematically by the Yamada ordinary differential equation model for the gain, the absorber and the laser intensity. More specifically, we are interested in the case that gain and absorber decay on different time-scales. We present an overall bifurcation structure by showing how the two-parameter bifurcation diagram in the plane of pump strength versus decay rate of the gain changes with the ratio between the two decay rates. In total, there are ten cases BI to BX of qualitatively different two-parameter bifurcation diagrams, which we present with an explanation of the transitions between them. Moroever, we show for each of the associated eleven cases of structurally stable phase portraits (in open regions of the parameter space) a three-dimensional representation of the organization of phase space by the two-dimensional manifolds of saddle equilibria and saddle periodic orbits.The overall bifurcation structure provides a comprehensive picture of the observable dynamics, including multistability and excitability, which we expect to be of relevance for experimental work on Q-switching lasers with different kinds of saturable absorbers.
Year
DOI
Venue
2020
10.1142/S0218127420300396
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Self-pulsation, laser with saturable absorber, Q-switching, bifurcation analysis, invariant manifold, multistabilty, excitability
Journal
30
Issue
ISSN
Citations 
14
0218-1274
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Otupiri Robert100.34
Bernd Krauskopf216729.76
Neil Broderick301.01